Q: What are the prime factors of the number 19,867,296?

 A: 2, 3, 206951

Why are those the prime factors of the number 19,867,296?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 19,867,296

19,867,296
Factor Arrows
29,933,648
Factor Arrows
24,966,824
Factor Arrows
22,483,412
Factor Arrows
21,241,706
Factor Arrows
2620,853
Factor Arrows
3206,951

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 206951

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 206,951 = 19,867,296

This can also be written as 25 x 31 x 206,9511 = 19,867,296

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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